What will come in place of (?) in the following questions ?
? % of 3500 = 1684 - 488 - 31% of 1600

Options

A. 40
B. 30
C. 25
D. 20

Answer

To solve the equation given in the question, we will follow these steps:

**Step 1: Understand the equation.**
The equation we need to solve is:
\[ ?\% \text{ of } 3500 = 1684 - 488 - 31\% \text{ of } 1600 \]

**Step 2: Calculate \(31\%\) of \(1600\).**
To find \(31\%\) of \(1600\):
\[ 31\% \text{ of } 1600 = \frac{31}{100} \times 1600 = 0.31 \times 1600 = 496 \]

**Step 3: Substitute the value back into the equation.**
Now, substitute \(31\%\) of \(1600\) into the equation:
\[ ? \% \text{ of } 3500 = 1684 - 488 - 496 \]

**Step 4: Simplify the right side.**
Now, perform the subtraction:
\[ 1684 - 488 = 1196 \]
Then,
\[ 1196 - 496 = 700 \]
So now we have:
\[ ? \% \text{ of } 3500 = 700 \]

**Step 5: Convert the percentage equation to a simpler form.**
We can express \(? \%\) of \(3500\) as:
\[ \frac{?}{100} \times 3500 = 700 \]

**Step 6: Solve for \(?\).**
To isolate \(?\), we can multiply both sides by \(100\) and then divide by \(3500\):
\[ ? = \frac{700 \times 100}{3500} \]
Calculating this gives:
\[ ? = \frac{70000}{3500} = 20 \]

Thus, the value that comes in place of (?) is **20**.